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What term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?

The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is called an "ellipse." In this geometric shape, the two fixed points are known as the foci, and the constant represents the total distance that remains constant for all points on the ellipse.


Which term best describes the set of all points in a plane for which the sum of the distance to two points equals a certain constant?

The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is called an "ellipse." In this scenario, the two fixed points are referred to as the foci of the ellipse, and the constant must be greater than the distance between the two foci for the shape to exist.


Can the foci's of and ellipse be outside the ellipse?

No.


What is a oval shape called?

An oval shape is commonly referred to as an "ellipse." An ellipse is a geometric figure that resembles a stretched circle and is defined by two focal points. It can vary in width and height while maintaining its characteristic smooth, curved outline. In everyday language, "oval" often describes any elongated round shape, but technically, an ellipse is the precise mathematical term.


Which term best describes the pointline or curve defined by the intersection of a cone and a plane?

The term that best describes the curve formed by the intersection of a cone and a plane is a "conic section." Depending on the angle and position of the plane relative to the cone, the conic section can be classified as a circle, ellipse, parabola, or hyperbola. Each of these shapes represents a different type of intersection based on the geometric relationship between the cone and the plane.

Related Questions

What word best describes the orbit of a comet?

an ellipse


Which shape that best describes the earth's orbit around the sun?

The Earth's orbit around the sun is best described as an ellipse. An ellipse is a geometric shape that is elongated and slightly flattened. The sun is located at one of the foci of the ellipse, not at the center.


What conic sections describes a closed curve?

An ellipse is a conic section which is a closed curve. A circle is a special case of an ellipse.


What term describes the red curve in the figure below?

Ellipse


What describes Earths location?

A point on an equation for an ellipse centered on the Sun.


What is a seven letter word that describes the shape of the earths orbit?

Ellipse.


What Which of the following conic sections describes a closed curve?

Ellipse and curve! apex


Which statement best describes the major axis?

The major axis is the longest possible segment you can draw from one point on the ellipse ,through the center, and to the opposite point.


What term best describes the set of all points in a plane for which the sum of the distances two fixed points equal a certain constant?

You're trying to describe an "ellipse".


What term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?

The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is called an "ellipse." In this geometric shape, the two fixed points are known as the foci, and the constant represents the total distance that remains constant for all points on the ellipse.


What is the path of earth as it revovles around the sun?

The Earth describes and ellipse as it revolves round the Sun (all planets do).


Can the foci of an ellipse can be outside the ellipse?

No. Both foci are always inside the ellipse, otherwise you don't have an ellipse.